It's not the first time Jones has snubbed a potential coaching opportunity after he said he had no intention of putting his name forward for the next Lions assignment, a tour of South Africa in 2021.
The 59-year-old told the Sydney Daily Telegraph newspaper coaching the Lions — seen as a great sporting challenge — was not for him.
"The last thing I want to do is spend eight weeks in a blazer," he said. "That's an ambassador job. I'm a coach. I'd rather coach the Queensland Sheffield Shield team."
They were labelled bizarre comments considering the Lions' storied history and the image of the men who have led them but could also be seen as a put down of Gatland, who guided the Lions to a surprise drawn series against the All Blacks in 2017.
Meanwhile, Australia's director of rugby Scott Johnson has reportedly set out an aggressive pitch to retain some of their top overseas-based coaches, officials, and support staff.
The Sydney Morning Herald reports Johnson had approached Fiji's strength and conditioning coach John Pryor in an attempt to lure him back before targeting Scott Wisemantel, who coaches alongside Jones in England.